A Remark on "Counting primitive elements in free groups" (by J. Burillo and E. Ventura)

2003/02/07 by Igor Rivin, Rivin, Igor · 1 citation
Mathematics · #20E05 #FOS: Mathematics #Geometric Topology (math.GT) #Geometric and Algebraic Topology #Group Theory (math.GR) #Markov Chains and Monte Carlo Methods #Mathematical Dynamics and Fractals #math.GR #math.GT #msc:20E05

paper · pdf · doi:10.48550/arxiv.math/0302083

arxiv created 2003/02/07 · openalex publication_date 2003/02/07 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We observe that a sharp result on the exponential growth rate of the number of primitive elements exists for the free group on two generators.

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• Growth and Language Complexity of Potentially Positive Elements of Free Groups

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